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Threshold logarithms become dominant in partonic cross sections when theselected final state forces gluon radiation to be soft or collinear. Suchradiation factorizes at the level of scattering amplitudes, and this leads tothe resummation of threshold logarithms which appear at leading power in thethreshold variable. In this paper, we consider the extension of thisfactorization to include effects suppressed by a single power of the thresholdvariable. Building upon the Low-Burnett-Kroll-Del Duca (LBKD) theorem, wepropose a decomposition of radiative amplitudes into universal building blocks,which contain all effects ultimately responsible for next-to-leading power(NLP) threshold logarithms in hadronic cross sections for electroweakannihilation processes. In particular, we provide a NLO evaluation of the"radiative jet function", responsible for the interference of next-to-soft andcollinear effects in these cross sections. As a test, using our expression forthe amplitude, we reproduce all abelian-like NLP threshold logarithms in theNNLO Drell-Yan cross section, including the interplay of real and virtualemissions. Our results are a significant step towards developing a generallyapplicable resummation formalism for NLP threshold effects, and illustrate thebreakdown of next-to-soft theorems for gauge theory amplitudes at loop level.

A factorization approach to next-to-leading-power threshold logarithms